> > xtabs(~V1+V2+V3, df) # There are 9 cells with 0 entries. That is the 
> > problem.
> 

> , , V3 = 9
> 

> V2
> V1 8 16 24
> 200 5 0 5
> 350 5 5 0
> 500 0 5 5


thanks for the insight

yah

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